Here is the full list of all 19 Fine Sweeper achievements.
Flag 50,000 bombs
Step on 5000 bombs
Try to cheat
Expert Mode unlocked
Start a Custom Game
Make it to level 7 in less than 1 minute
Pick up 113 hearts
Clear the whole board in 1 click
Make it to Level 10 without a single mistake
Make it to Level 10 without any pick-ups
Beat Level 50
Make it to Level 40
Pick up a Full Heart Container
Make it to Level 30
Make it to Level 20
Beat a hi-score of 100,001
Have all heart containers filled
Make it to Level 10
Launch Fine Sweeper